Thread: Spherical coordinates!

Hey, im a college student at the university of oklahoma and couldnt figure out this problem, help would be greatly appreciated!

(A)
Find the linearization of the spherical change of coordinates map:

(B)
Find the factor by which the linear map you found in (A) scales volume.

Originally Posted by luckyc1423

Hey, im a college student at the university of oklahoma and couldnt figure out this problem, help would be greatly appreciated!

(A)
Find the linearization of the spherical change of coordinates map:
f(p; phi; theta) = ( (p)cos(theta)sin(phi) ; (p)sin(theta)sin(phi) ; (p)cos(phi) ):
(B)
Find the factor by which the linear map you found in (A) scales volume.

The derivative you need is here.

The factor is the absolute value of the Jacobian